论文标题
特殊三场的扩展
Extensions of special 3-fields
论文作者
论文摘要
我们研究了一个单独的单位元素的Unital 3视场的有限场扩展，并发现与经典野外理论有很大差异。此外，阐明了其自动形态组的结构，并确定各个子场。为了更好地理解这里出现的三个场的结构，我们研究了可以从已知的产品结构中获得新的Unital 3 Fields的方法，其中之一是没有类似于二进制领域的笛卡尔产品。
We investigate finite field extensions of the unital 3-field, consisting of the unit element alone, and find considerable differences to classical field theory. Furthermore, the structure of their automorphism groups is clarified and the respective subfields are determined. In an attempt to better understand the structure of 3-fields that show up here we look at ways in which new unital 3-fields can be obtained from known ones in terms of product structures, one of them the Cartesian product which has no analogue for binary fields.
